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Finding the Fourth Proportional to 156.52, 216.09 and 104.05

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Solution

The fourth proportional to 156.52, 216.09 and 104.05 is: 143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.52 : 216.09 = 104.05 : x
  2. Step 2: Convert to fraction form
    156.52/216.09 = 104.05/x
  3. Step 3: Cross multiply
    156.52x = 216.09 × 104.05
  4. Step 4: Simplify right side
    156.52x = 22,482.56
  5. Step 5: Solve for x
    x = 22,482.56/156.52
  6. Step 6: Final answer
    x = 143.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.